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Verified Answer :

cot (- 210º) = - √3 so 30° 

Answer:

-\(\sqrt{3}\)

Step-by-step explanation:

We know that cot (-x)  = -cot x

                therefore  cot(-210) = -cot(210)

                                     and we know that cot (180+x) = cot(x)

                              [since 210 lies in  third quadrant therefore its positive ]        

                     therefore  cot(180+30 ) = cot 30

 so here in the question

     cot(-210) = -cot(210)  = - cot (30)

                                         = -\(\sqrt{3}\)